Thus the test with rejection region \(\lbrace T_n(w)>x_\alpha \rbrace \)  is an asymptotic level-\(\alpha \)  test. For instance \(\alpha =0.05\)  yields
\(y_\alpha =1.544\)  and \(w=0.0261\) . [1]} give tables of the exact critical values \(x_{\alpha ,n}\)  for selected sample sizes \(n \in \mathbb {N}\)  and
\(\alpha \in \lbrace 0.1,0.05,0.01\rbrace \) . For the computation of these values they use that by (REF ), (REF ) and (REF ) and freedomness of distribution under \(H_0\) 
the probability \(\mathbb {P}(T_n(w)\le x)\)  can be rewritten as a rectangle probability for uniform order statistics. These in turn are calcultated by the recursion formula of [2]}, confer also [3]}, p. 362.
